(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Four runners A,B,C, and D ran 100m each. The time taken, in seconds by each runner can be considered as independent observation from a normal distribution with mean 14 and SD 0.2 . A runner E ran 400 m. THe time taken by E can be considered as an observation from a normal distribution with mean 58 and SD 1.0 independent of the times taken by the other runners. For the four runners A,B,C and D , find the probabiltiy that A is the fastest runner. Find also the probability that runners C and D (in any order of arrangement) are the slowest runner.

2. Relevant equations

3. The attempt at a solution

Maybe some hints to get me started on both parts of the questions.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Calculation of the adjusted mean

**Physics Forums | Science Articles, Homework Help, Discussion**